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Finding the Third Proportional to 89,062 and 134,443

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Solution

The third proportional to 89,062 and 134,443 is: 202,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,062 : 134,443 = 134,443 : x
  2. Step 2: Convert to fraction form
    89,062/134,443 = 134,443/x
  3. Step 3: Cross multiply
    89,062x = 134,443 × 134,443
  4. Step 4: Simplify right side
    89,062x = 18,074,920,249
  5. Step 5: Solve for x
    x = 18,074,920,249/89,062
  6. Step 6: Final answer
    x = 202,947.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.